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7. The letter
is shown on the graph grid below. Transform the image using the function F shown below.
Did this transformation preserve the size and shape of
the image? Use tracing paper if necessary.

7 The letter is shown on the graph grid below Transform the image using the function F shown below Did this transformation preserve the size and shape of the im class=

Respuesta :

frika

Answer:

See explanation

Step-by-step explanation:

Shown letter E has endpoints at (-3,1), (-6,1), (-4,4), (-6,4), (-3,7) and (-6,7). The transformation with the rule

[tex]F(x,y)=(y,x)[/tex]

maps these points into points

(1,-3), (1,-6), (4,-4), (-6,4), (7,-3) and (7,-6) (see attached diagram)

This transformation is a reflection across the line y=x. Reflection preserves the figure size and shape.

Ver imagen frika

Answer:

Yes, this transformation preserve the size and shape of the image.

The figure is reflected across the line y=x.

Step-by-step explanation:

From the given figure it is clear that the vertices and end points of the figure are (-3,1), (-6,1), (-4,4), (-6,4), (-3,7) and (-6,7).

Rule of transformation is

[tex]F(x,y)=(y,x)[/tex]

Using the rule of transformation we get

[tex]F(-3,1)=(1,-3)[/tex]

[tex]F(-6,1)=(1,-6)[/tex]

[tex]F(-4,4)=(4,-4)[/tex]

[tex]F(-6,4)=(4,-6)[/tex]

[tex]F(-3,7)=(7,-3)[/tex]

[tex]F(-6,7)=(7,-6)[/tex]

The vertices and end points of the figure are (1,-3), (1,-6), (4,-4), (4,-6), (7,-3) and (7,-6).

Plot these points of the coordinate plane.

Yes, this transformation preserve the size and shape of the image.

The figure is reflected across the line y=x.

Ver imagen erinna